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Finding the Fourth Proportional to 72,886.69, 100,583.99 and 41,056.09

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Solution

The fourth proportional to 72,886.69, 100,583.99 and 41,056.09 is: 56,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,886.69 : 100,583.99 = 41,056.09 : x
  2. Step 2: Convert to fraction form
    72,886.69/100,583.99 = 41,056.09/x
  3. Step 3: Cross multiply
    72,886.69x = 100,583.99 × 41,056.09
  4. Step 4: Simplify right side
    72,886.69x = 4,129,585,346.00
  5. Step 5: Solve for x
    x = 4,129,585,346.00/72,886.69
  6. Step 6: Final answer
    x = 56,657.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.